828806100 has 144 divisors (see below), whose sum is σ = 2557211328. Its totient is φ = 206530560.

The previous prime is 828806089. The next prime is 828806107. The reversal of 828806100 is 1608828.

828806100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828806107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 830802 + ... + 831798.

It is an arithmetic number, because the mean of its divisors is an integer number (17758412).

Almost surely, 2^828806100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278605664).

828806100 is an abundant number, since it is smaller than the sum of its proper divisors (1728405228).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

828806100 is a wasteful number, since it uses less digits than its factorization.

828806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 828806100 is about 28788.9926881786. The cubic root of 828806100 is about 939.3288176900.

The spelling of 828806100 in words is "eight hundred twenty-eight million, eight hundred six thousand, one hundred".